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Finding the Fourth Proportional to 5,200.65, 7,805.93 and 4,838.67

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Solution

The fourth proportional to 5,200.65, 7,805.93 and 4,838.67 is: 7,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.65 : 7,805.93 = 4,838.67 : x
  2. Step 2: Convert to fraction form
    5,200.65/7,805.93 = 4,838.67/x
  3. Step 3: Cross multiply
    5,200.65x = 7,805.93 × 4,838.67
  4. Step 4: Simplify right side
    5,200.65x = 37,770,295.12
  5. Step 5: Solve for x
    x = 37,770,295.12/5,200.65
  6. Step 6: Final answer
    x = 7,262.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.